{
  "id": "0709.1262",
  "version": "v1",
  "published": "2007-09-09T13:16:54.000Z",
  "updated": "2007-09-09T13:16:54.000Z",
  "title": "An O(2,n) formulation of invariant theory for elliptic Weyl group",
  "authors": [
    "Ikuo Satake"
  ],
  "comment": "31 pages",
  "categories": [
    "math.AG",
    "math.RT"
  ],
  "abstract": "In this paper, we give a new formulation of invariant theory for elliptic Weyl group using the group O(2,n). As an elliptic Weyl group quotient, we define a suitable $\\C^*$-bundle. We show that it has a conformal Frobenius structure which we define in this paper. Then its good section could be identified with a Frobenius manifold which we constructed in arXiv:math/0611553.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-09-09T13:16:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32G20",
      "32N10"
    ],
    "keywords": [
      "invariant theory",
      "formulation",
      "elliptic weyl group quotient",
      "conformal frobenius structure",
      "frobenius manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0709.1262S"
    }
  }
}